On Zagreb-type molecular descriptors of vanadium carbide and their applications

Abstract

Vanadium is naturally occurring fundamental element that has immense consumptions in industry and biological field. Vanadium (V) has different mineral and fossil fuel forms, most common are sandstones crude oil and coal. It is a d-transition metal, found in VA of the periodic table. Transition metal has characteristics to espouse multiple oxidation states $$+2, +3, +4, +5$$ of vanadium are useful. The ground-state electronic configuration of V is $$[Ar]\,\,\ 3d^{3},\,\,\ 4s^{2}$$ that contain 5 valance electrons. Vanadium element converts into ions, when lose valance electron so, it’s has redox property. Chemical graph theory plays an important role in modeling and designing any chemical structure. The topological indices are the numerical invariants of a molecular graph and are very useful for predicting their physical properties. In this paper, we study the chemical graph of crystal structure of Vanadium Carbide $$V_{2}C$$ . Also, we compute degree-based molecular descriptors (topological indices), namely first and second Zagreb index, first and second Zagreb coindices, Hyper-Zagreb index, first and second multiple Zagreb index and Redefined Zagreb index.